The Analytic Quantum Information Manifold
نویسنده
چکیده
Let H ≥ I be a self-adjoint operator on a Hilbert space, such that e is of trace-class for some β < 1. Let V be a symmetric operator such that ‖V ‖ω := ‖RV ‖ < ∞, where R = H . We show that the partition function Tre ) is analytic in λ in a hood of the origin in the sense of Fréchet, in the Banach space with norm ‖ • ‖ω. This is applied to the quantum information manifold defined by H .
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